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Finding the Fourth Proportional to 2,614.78, 3,922.18 and 884.62

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Solution

The fourth proportional to 2,614.78, 3,922.18 and 884.62 is: 1,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.78 : 3,922.18 = 884.62 : x
  2. Step 2: Convert to fraction form
    2,614.78/3,922.18 = 884.62/x
  3. Step 3: Cross multiply
    2,614.78x = 3,922.18 × 884.62
  4. Step 4: Simplify right side
    2,614.78x = 3,469,638.87
  5. Step 5: Solve for x
    x = 3,469,638.87/2,614.78
  6. Step 6: Final answer
    x = 1,326.93

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.